
Chapter 12—Cas e Study Summaries 35
NL PL
22
21011 12
NM
ZE
PM
Figure 12.8 Fuzzy membership functions for position error x (meters), velocity (meters/second),
and force (Newtons).
variable (F) into fuzzy sets, as illustr ated in Figure 12.8. Since the cart can be directed
to a specified location x
t
, the value x appearing in the fuzzy set definitions, the fuzzy
rule set, and so on, is actually the difference between the current location of the cart
and x
t
. Remember that the objective is to move the cart to the specified location in
minimum time.
Note that the definition of the fuzzy sets is made to appear far too straightfor-
ward in Figure 12.8. The process